Toric extremal Kähler-Ricci solitons are Kähler-Einstein
Simone Calamai; David Petrecca
Complex Manifolds (2017)
- Volume: 4, Issue: 1, page 179-182
- ISSN: 2300-7443
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topSimone Calamai, and David Petrecca. "Toric extremal Kähler-Ricci solitons are Kähler-Einstein." Complex Manifolds 4.1 (2017): 179-182. <http://eudml.org/doc/288390>.
@article{SimoneCalamai2017,
abstract = {In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.},
author = {Simone Calamai, David Petrecca},
journal = {Complex Manifolds},
keywords = {Extremal Kähler metrics; Kähler-Ricci solitons; Einstein manifolds; Toric manifolds},
language = {eng},
number = {1},
pages = {179-182},
title = {Toric extremal Kähler-Ricci solitons are Kähler-Einstein},
url = {http://eudml.org/doc/288390},
volume = {4},
year = {2017},
}
TY - JOUR
AU - Simone Calamai
AU - David Petrecca
TI - Toric extremal Kähler-Ricci solitons are Kähler-Einstein
JO - Complex Manifolds
PY - 2017
VL - 4
IS - 1
SP - 179
EP - 182
AB - In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.
LA - eng
KW - Extremal Kähler metrics; Kähler-Ricci solitons; Einstein manifolds; Toric manifolds
UR - http://eudml.org/doc/288390
ER -
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